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Finding the Fourth Proportional to 370,522.94, 511,322.00 and 200,757.06

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Solution

The fourth proportional to 370,522.94, 511,322.00 and 200,757.06 is: 277,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,522.94 : 511,322.00 = 200,757.06 : x
  2. Step 2: Convert to fraction form
    370,522.94/511,322.00 = 200,757.06/x
  3. Step 3: Cross multiply
    370,522.94x = 511,322.00 × 200,757.06
  4. Step 4: Simplify right side
    370,522.94x = 102,651,500,429.54
  5. Step 5: Solve for x
    x = 102,651,500,429.54/370,522.94
  6. Step 6: Final answer
    x = 277,044.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.